11-14. Sketches from properties Sketch a function that is continuous on (-, 0) and has the following properties. Use a number line to summarize information about the function. 11. f'(x) < 0 on (-12):f"(x) > 0 on (2, 5); f'(x) < 0 on (5, 0)

11-14. Sketches from properties Sketch a function that is continuous on (-, 0) and has the following properties. Use a number line to summarize information about the function. 11. f'(x) < 0 on (-12):f"(x) > 0 on (2, 5); f'(x) < 0 on (5, 0)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.2: Graphs Of Equations

Problem 78E

See similar textbooks

Related questions

Q: (3-х, х <2 +1, x 2 2 B. Is the function h(x) continuous at x-2?

Q: 3. Determine f(x) = x2 + x-2 is continuous on the given interval (-0,+0) (show graph and its table…

A: Here, the given function is: f(x)=x2+x-2 And the given interval is (-∞,∞).

Q: The lower limit is less than 0, so part two of the fundamental theorem of calculus cannot be…

A: The second part of the fundamental theorem of calculus states If f(x) is a continuous function on…

Q: Please answer question 10. The guidelines and question is provided in the images.

A: Given:

Q: Find the critical points c for the function f and apply the Second Derivative Test (if possible) to…

Q: Sketch a continuous function ƒ on some interval that has theproperties described. Answers will vary.…

Q: Verify Mean value theorem for the function f(x)=2x^3+x+3 over the interval [0,1

A: Topic-Calculas

Q: 3. Determine f(x) = x +x-2 is continuous on the given interval (-0,+0) (show graph and its table of…

Q: ax²-3 -,х> 1 x-1 Value of a and b that will make f (x) = continuous everywhere are ... lbx + 2, х <…

Q: 5. Suppose that f is defined on (-∞, 00) and differentiable everywhere except atx = -2 and x = 4,…

A: We have given a function f(x) defined on -∞,∞ which is differentiable everywhere except at x=-2 and…

Q: 1). Sketch a continuous function f on the interval [-6, 6] that has the following properties:…

A: Note:- As per our guidelines, we can answer the first problem as exactly one is not mentioned.…

Q: Consider the function h(x) = 2+ cos x. Since h(x) is continuous on 0,4 and differentiable on (0).…

Q: Can you help me step by step?

A: Given: -

Q: find the interverse of the function on the given domain. (Enter the domain using interval notation.)…

A: For (a),

Q: Find the critical points e for the function f and apply the Second Derivative Test (if possible) to…

Q: Find the critical points of the following function on the given interval. Identify the absolute…

A: Given function: g(x)=-12sinx+12sinxcosx on 0, 2π Let's take…

Q: 8. If a continuous, differentiable function f is equal to 2 at x = 3 and at x = 5, what can you say…

A: Given that if a continuous, differentiable function f is equal to 2 atx=3 and at x=5, Our Aim is to…

Q: ) Suppose f (x) is continuous on [0, 2] and differentiable on (0,2). Suppose f (0) = 3 and f (2) =…

A: Use the concept of Roll's Theorem and Extreme Value theorem and solve the problems.

Q: Find the critical points of f(x) = x - x7 and apply the Second Derivative Test (if possible) to…

Q: The Mean Value Theorem guarantees that there is a real number N in the interval (0,1) for which…

Q: 8. Consider the function f (x) = In(x) – 2 arctan(x). a. Find all critical points of the function…

Q: Sketch

Q: Use finite approximations to estimate the graph of f(x) =x between x = 0and x = 1 using 1. a lower…

A: Let's find.

Q: Let g(x) be a function defined on R such that g′′(x)= 1/(1+x^2), g(0)=0 and g′(0)=0. Use the Mean…

Q: Let f (x) = -sin (x/3). %3D Find all critical numbers (if any) of the given function in the interval…

Q: The slope of the tangent line to the graph of f(x) = tan(sin-'(x)) is not defined at x = 1. %3D…

A: Consider the function, Recall that the slope of the tangent line at any point of the curve is…

Q: Use the first derivative test to find the location of all local extrema in the interval (1,7) for…

Q: Find the critical points c for the function f and apply the Second Derivative Test (if possible) to…

A: Given f(x) =16x7 ln(12x) x>0 critical points are points where f'(x)=0 or f'(x) does…

Q: Sketch the graph of a function f that is continuous on [0,8] satisfying the given properties.…

Q: Regioin bounded by x-g and X=24-9

A: Area bounded by the curves, Using the double Integrals

Q: The second derivative f" is defined on the closed interval [0, 8n]. Now test f" in the intervals (0,…

A: use the definition of concave upward and concave downward .

Q: 1 f(x)= - + In(x) Given: Find: x-coordinate of any maximum, minimum or Points of Inflection.

Q: The limit represents the derivative of some function fat some number a. State such an f and a. lim…

A: Given that limh→0 cosπ+h+1h. This implies that, limh→0 cosπ+h+1h=limh→0 cosπ+h--1h=limh→0…

Q: Let ff be a continuous function with the values given by the following table. Approximate…

A: Left Riemann sum: We need to find the value of .

Q: True or false √2 If cosh x = V, then sinh x = 2. It is possible for a function to have an absolute…

A: To determine whether the following statements are True or False.1 If cosh x=62, then sinh x=22.2 It…

Q: Sketch a continuous function f on the interval [-6, 6] that has the following properties:…

Q: Consider a function f that is continuous on [-2, 4] with f'(x) = 0 whenever x = 3 or x = 5. Suppose…

Q: The value of the function f(x) and some order derivatives at the point x =1 are given in the…

A: The second order taylor polynomial for a function fx centered at x=a is defined as follows:…

Q: Find all points c satisfying the conclusion of the MVT for the function f(x) = 8x ln(x) + 9 and…

Q: The graph of a function f is shown. The x y-coordinate plane is given. The curve begins at y = 1 on…

Q: Find the critical points c for the function f and apply the Second Derivative Test (if possible) to…

Q: Sketch the graph of a function f that is continuous on [1,5] and has the given properties.…

A: Consider the equation

Q: Sketch a continuous function f on the interval [-6, 6] that has the following properties:…

Q: Please help me with part F, G and J

Q: Find the critical points c for the function f and apply the Second Derivative Test (if possible) to…

Q: the average revenue is defined as the function ------- R(x)=R(x)/x (x>0) Prove that if a…

A: The average revenue is, Rx=Rxx at x>0. Differentiate Rx=Rxx with respect to x.…

Q: Show that f is continuous on (-0, 0). S1 - x² if x s 1 f(x) : In(x) if x > 1 On the interval (-∞,…

A: We will fill all the blanks using appropriate results.

Concept explainers

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.

Question

11–14. Sketches from properties Sketch a function that is continuous
on 1- , 2 and has the following properties. Use a number line to
summarize information about the function.

11-14. Sketches from properties Sketch a function that is continuous
on (-, 0) and has the following properties. Use a number line to
summarize information about the function.
11. f'(x) < 0 on (-∞12):f'(x) > 0 on (2, 5): f'(x) < 0
on (5, 0)
12. f'(-1) is undefined; f'(x) > 0 on (-0,-1);f'(x) < 0
on (-1, *)
13. f(0) f(4) = f'(0) = f'(2) = f'(4) = 0; f(x) = 0
on (-0, )
14. f'(-2) = f'(2) = f'(6) = 0;f'(x) = 0 on (-0, )

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Limits and Continuity$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Similar questions

Limit n---infinity for the function nln((1-(3/5n))/4 using L'Hopitals
limit as x approaches infinity of (1-x)/(3n+5)
limit as x---3 for the function (x-2)^11/(3-x) using L'Hopitals.
Suppose f is continuous on the interval (0,3). Assume further that f(0)= -2 and f(-3)= 5. Also, lim of x approaches to 0 negative f(x)= -5, lim of x approaches to 0 positive f(x)= -2, lim of x approaches to 3 negative f(x)= -2, and lim of x approaches to 3 positive f(x)=5. What would be the result, discountinuous or continuous at what point?
prove that f(x)=3x^3-4x^2-x-3 is continuous over [-3,3] give an example of a function f whose third derivative exist at x=o but whose fourth derivative does not.
Limit of -4 from left of function (x-3)/(x-4)
What is an example of a function f : [-2, 2]-->R which is not differentiable at -1 but which is continuous at -1.
find the absolute maximum and absolute minimum of the function x - 2cosx on the interval of (-2, 0)
generate a continuous and differentiable function that is decreasing at -6, has a local minimum at -3 and a local maximum at 3
Consider the function g(x) = cos(1/x). We will investigate the limit behavior at x = 0. c) If n is an arbitrary positive integer, find points x1 and x2 (int terms of n) in the interval(-1/n, 1/n( such that g(x2) = 1 and g(x2) = -1. d) Explain (in a brief paragraph) why (c) implies that g does not have a limit at x = 0. e) Where is g continuous? Justify your answer. You may use facts from the textbook in Section 2.2 - 2.5.
Create a Piecewise function that: a) has infinitely many vertical asymptotes and infinitely many x-intercepts on the interval (-7,-6) b) has infinitely many vertical asymptotes and no x-intercept on (0,7) c) has infinitely many x-intercepts and no vertical asymptotes on (70,700) d) is continuous and greater than 10^100 on [-6, 0], and e) is continuous and less than -100! on [7,70] You must express the function and all its zeros and asymptotes algebraically. What software or technology would you use to graph such a function? Explain.
6. Sketch an even continuous function with all of the following features: ✓✓✓✓ • Absolute maximum at 6• Zeroes at x=3 and x=–3 y-intercept at 2 3 turning points